basic stracture and auth

in memory db :)

apps/mobile/src/app/(tabs)/index.tsx

@@ -0,0 +1,45 @@
+import React from 'react'
+import { View, Text, StyleSheet } from 'react-native'
+import { useRequireAuth } from '@/hooks/useRequireAuth'
+
+export default function HomeScreen() {
+  const { user } = useRequireAuth()
+
+  if (!user) {
+    return null
+  }
+
+  return (
+    <View style={styles.container}>
+      <Text style={styles.title}>Welcome back!</Text>
+      <Text style={styles.subtitle}>
+        {user.firstName} {user.lastName}
+      </Text>
+      <Text style={styles.email}>{user.email}</Text>
+    </View>
+  )
+}
+
+const styles = StyleSheet.create({
+  container: {
+    flex: 1,
+    justifyContent: 'center',
+    alignItems: 'center',
+    backgroundColor: '#f5f5f5',
+  },
+  title: {
+    fontSize: 32,
+    fontWeight: 'bold',
+    marginBottom: 8,
+  },
+  subtitle: {
+    fontSize: 24,
+    fontWeight: '600',
+    marginBottom: 4,
+    color: '#333',
+  },
+  email: {
+    fontSize: 16,
+    color: '#666',
+  },
+})